Acta Mathematica Vietnamica
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Chain Polytopes and Algebras with Straightening Laws
Takayuki Hibi , Nan Lipp. 447-452
Abstract
It will be shown that the toric ring of the chain polytope of a finite partially ordered set is an algebra with straightening laws on a finite distributive lattice. Thus, in particular, every chain polytope possesses a regular unimodular triangulation arising from a flag complex.